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30 Jan 2020, 03:35
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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A "complete set" of disks consists of one green disk, one blue disk, one orange disk, and one purple disk. A bag contains 12 green disks, 12 blue disks, 12 orange disks, and 12 purple disks. The bag contains nothing else. If 6 disks are randomly selected from the bag, what is the greatest possible number of complete sets of disks that could be remaining in the bag?
A. 5
B. 6
C. 8
D. 9
E. 10
A. 5
B. 6
C. 8
D. 9
E. 10
30 Jan 2020, 03:43
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The bag contains 12 complete sets of disks
1 complete set with 4 disks and a half complete set with two different colors are out.
So, the bag contains 10 complete sets and two disks of different color
IMO-E
1 complete set with 4 disks and a half complete set with two different colors are out.
So, the bag contains 10 complete sets and two disks of different color
IMO-E
30 Jan 2020, 05:04
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Bunuel
A "complete set" of disks consists of one green disk, one blue disk, one orange disk, and one purple disk. A bag contains 12 green disks, 12 blue disks, 12 orange disks, and 12 purple disks. The bag contains nothing else. If 6 disks are randomly selected from the bag, what is the greatest possible number of complete sets of disks that could be remaining in the bag?
A. 5
B. 6
C. 8
D. 9
E. 10
A. 5
B. 6
C. 8
D. 9
E. 10
Solution
- • A complete set of disks contains: 1 green, 1 blue, 1 orange and 1 purple disks
• A bag contains: 12 green, 12 blue, 12 orange and 12 purple disks
• So, the number of complete sets of disks in the bag = 12
• To have maximum number of complete sets intact in the bag:
- o out of 6 disks, 4 disks should be of different colour so that they make one complete set.
o Remaining 2 should NOT be of same colour, so that these two belongs to another 1 complete set.
Thus, the correct answer is option E.
